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Finding the Fourth Proportional to 9,649.59, 13,310.37 and 7,408.05

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Solution

The fourth proportional to 9,649.59, 13,310.37 and 7,408.05 is: 10,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.59 : 13,310.37 = 7,408.05 : x
  2. Step 2: Convert to fraction form
    9,649.59/13,310.37 = 7,408.05/x
  3. Step 3: Cross multiply
    9,649.59x = 13,310.37 × 7,408.05
  4. Step 4: Simplify right side
    9,649.59x = 98,603,886.48
  5. Step 5: Solve for x
    x = 98,603,886.48/9,649.59
  6. Step 6: Final answer
    x = 10,218.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.